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Finding the Third Proportional to 30,336.19 and 45,927.84

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Solution

The third proportional to 30,336.19 and 45,927.84 is: 69,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336.19 : 45,927.84 = 45,927.84 : x
  2. Step 2: Convert to fraction form
    30,336.19/45,927.84 = 45,927.84/x
  3. Step 3: Cross multiply
    30,336.19x = 45,927.84 × 45,927.84
  4. Step 4: Simplify right side
    30,336.19x = 2,109,366,831.52
  5. Step 5: Solve for x
    x = 2,109,366,831.52/30,336.19
  6. Step 6: Final answer
    x = 69,533.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.